229601326718400 has 4032 divisors, whose sum is σ = 1064824941841920. Its totient is φ = 42658430976000.

The previous prime is 229601326718369. The next prime is 229601326718431. The reversal of 229601326718400 is 4817623106922.

It is an interprime number because it is at equal distance from previous prime (229601326718369) and next prime (229601326718431).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 81971197000 + ... + 81971199800.

It is an arithmetic number, because the mean of its divisors is an integer number (264093487560).

Almost surely, 2^{229601326718400} is an apocalyptic number.

229601326718400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229601326718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532412470920960).

229601326718400 is an abundant number, since it is smaller than the sum of its proper divisors (835223615123520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229601326718400 is a wasteful number, since it uses less digits than its factorization.

229601326718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 229601326718400 in words is "two hundred twenty-nine trillion, six hundred one billion, three hundred twenty-six million, seven hundred eighteen thousand, four hundred".